-2[(4p+1)-(3p+1)]=5(3-p)-9

Solution for -2[(4p+1)-(3p+1)]=5(3-p)-9 equation:

Simplifying
-2[(4p + 1) + -1(3p + 1)] = 5(3 + -1p) + -9

Reorder the terms:
-2[(1 + 4p) + -1(3p + 1)] = 5(3 + -1p) + -9

Remove parenthesis around (1 + 4p)
-2[1 + 4p + -1(3p + 1)] = 5(3 + -1p) + -9

Reorder the terms:
-2[1 + 4p + -1(1 + 3p)] = 5(3 + -1p) + -9
-2[1 + 4p + (1 * -1 + 3p * -1)] = 5(3 + -1p) + -9
-2[1 + 4p + (-1 + -3p)] = 5(3 + -1p) + -9

Reorder the terms:
-2[1 + -1 + 4p + -3p] = 5(3 + -1p) + -9

Combine like terms: 1 + -1 = 0
-2[0 + 4p + -3p] = 5(3 + -1p) + -9
-2[4p + -3p] = 5(3 + -1p) + -9

Combine like terms: 4p + -3p = 1p
-2[1p] = 5(3 + -1p) + -9

Remove brackets around [1p]
-2 * 1p = 5(3 + -1p) + -9

Multiply -2 * 1
-2p = 5(3 + -1p) + -9
-2p = (3 * 5 + -1p * 5) + -9
-2p = (15 + -5p) + -9

Reorder the terms:
-2p = 15 + -9 + -5p

Combine like terms: 15 + -9 = 6
-2p = 6 + -5p

Solving
-2p = 6 + -5p

Solving for variable 'p'.

Move all terms containing p to the left, all other terms to the right.

Add '5p' to each side of the equation.
-2p + 5p = 6 + -5p + 5p

Combine like terms: -2p + 5p = 3p
3p = 6 + -5p + 5p

Combine like terms: -5p + 5p = 0
3p = 6 + 0
3p = 6

Divide each side by '3'.
p = 2

Simplifying
p = 2